Hypergeometric solutions to the q-Painlevé equation of type $A_4^{(1)}$

Details Hypergeometric solutions to the q-Painlevé equation of type $A_4^{(1)}$ Hypergeometric solutions to the q-Painlevé equation of type $A_4^{(1)}$

2006-12-30

arxiv.org/abs/nlin/0701001v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages, IOP style

Scientific paper

10.1088/1751-8113/40/42/S01

We consider the q-Painlev\'e equation of type $A_4^{(1)}$ (a version of
q-Painlev\'e V equation) and construct a family of solutions expressible in
terms of certain basic hypergeometric series. We also present the determinant
formula for the solutions.

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